Nonequilibrium and Rarefaction Effects in Hypersonic Multicomponent Viscous Shock Layers

2015 ◽  
pp. 515-520
Author(s):  
V. V. Riabov
Keyword(s):  
Shock Layers ◽  
Rarefaction Effects

scholarly journals fenicsR13

2021 ◽  
Vol 47 (2) ◽  
pp. 1-29
Author(s):  
Lambert Theisen ◽  
Manuel Torrilhon
Keyword(s):  
Gas Flow ◽  
Differential Operators ◽  
Mixed Finite Element ◽  
Test Cases ◽  
Typical Application ◽  
Flow Models ◽  
Computing Platform ◽  
Abstraction Levels ◽  
Variational Formulations ◽  
Rarefaction Effects

We present a mixed finite element solver for the linearized regularized 13-moment equations of non-equilibrium gas dynamics. The Python implementation builds upon the software tools provided by the FEniCS computing platform. We describe a new tensorial approach utilizing the extension capabilities of FEniCS’ Unified Form Language to define required differential operators for tensors above second degree. The presented solver serves as an example for implementing tensorial variational formulations in FEniCS, for which the documentation and literature seem to be very sparse. Using the software abstraction levels provided by the Unified Form Language allows an almost one-to-one correspondence between the underlying mathematics and the resulting source code. Test cases support the correctness of the proposed method using validation with exact solutions. To justify the usage of extended gas flow models, we discuss typical application cases involving rarefaction effects. We provide the documented and validated solver publicly.

Plane Poiseuille-Couette problem in micro-electro-mechanical systems applications with gas-rarefaction effects

2006 ◽  
Vol 18 (8) ◽  
pp. 087102 ◽  
Author(s):  
Carlo Cercignani ◽  
Maria Lampis ◽  
Silvia Lorenzani
Keyword(s):  
Mechanical Systems ◽  
Micro Electro Mechanical Systems ◽  
Rarefaction Effects

scholarly journals Spectral Stability of Ideal-Gas Shock Layers

2008 ◽  
Vol 194 (3) ◽  
pp. 1029-1079 ◽  
Author(s):  
Jeffrey Humpherys ◽  
Gregory Lyng ◽  
Kevin Zumbrun
Keyword(s):  
Ideal Gas ◽  
Spectral Stability ◽  
Shock Layers

Nonequilibrium merged stagnation shock layers at hypersonic speeds

1975 ◽  
Vol 18 (10) ◽  
pp. 1113-1118 ◽  
Author(s):  
Ajay Kumar ◽  
A.C. Jain
Keyword(s):  
Hypersonic Speeds ◽  
Shock Layers

Particle trajectories, heating, and breakup in hypersonic shock layers

AIAA Journal ◽  
1971 ◽  
Vol 9 (6) ◽  
pp. 1040-1048 ◽  
Author(s):  
G. D. WALDMAN ◽  
W. G. REINECKE
Keyword(s):  
Particle Trajectories ◽  
Hypersonic Shock ◽  
Shock Layers
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